Thanks for the additional words, Henry. 😊
I actually wound up using the Auxiliary input via an RCA to 3.5" cable and the results are so much better. The sound can still get a little "dirty" (ie: the audible hum is still there) when I turn the RP-51's gain all the way up, but nowhere near as bad as it was when I was using the RCA cables on the Phono/Line input. Also, with this setup, I am able to completely utilize the Modi, Loki, and Magni hardware in conjunction with my RP-51's. Between the built in gain and the additional amplification via the Magni, there's a lot of power ready and able to drive these speakers, and that makes me happy.
P.S.
One additional question: would the use of a 3.5" "noise filtering" device help to clear up (if not totally eliminate) the sound of interference/humming? Also, would such a device have a negative affect on the quality of the sound coming from my media (which is music/movie/games).